What is (\partial)/(\partial x)(6x^2+11y) ?

The answer to (\partial)/(\partial x)(6x^2+11y) is 12x

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(\partial)/(\partial x)(6x^2+11y)

\frac{\partial}{\partial x} (6 x^{2} + 11 y)

12 x

Solution steps

\frac{\partial}{\partial x} (6 x^{2} + 11 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (6 x^{2}) + \frac{\partial}{\partial x} (11 y)

\frac{\partial}{\partial x} (6 x^{2}) = 12 x

\frac{\partial}{\partial x} (11 y) = 0

= 12 x + 0

Simplify

= 12 x

e^{- 14 x}

\frac{d}{d x} (y^{5} - 3 x y)

f (x) = 4 x^{2}, at x = 0

7 sin (4 t + 8)

What is (\partial)/(\partial x)(6x^2+11y) ?
The answer to (\partial)/(\partial x)(6x^2+11y) is 12x